This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.
**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

**Figure 13.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 13.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 14.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 14.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 15.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 16.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 17.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 18.**- Residuals from logbook harvests.

Figure 18.- Residuals from logbook harvests.


SWHS residuals

**Figure 19.**- Residuals from SWHS harvests.

Figure 19.- Residuals from SWHS harvests.



**Figure 20.**- Residual of SWHS releases.

Figure 20.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 21.**- Mean percent of harvest by charter anglers.

Figure 21.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 22.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 22.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 23.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 23.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 24.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 24.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 25.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 25.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


**Figure 26.**- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 26.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.


**Figure 27.**- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 27.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 28.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 28.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 29.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 29.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 30.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 30.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 31.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 31.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 32.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 32.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 33.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 33.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

## NULL



Weight Fits

**Figure 35.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 35.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 36.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 36.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 37.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.4210526

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.18 while 0.82 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable

area_n

year

user

mean

median

lower

upper

Rhat

sd

skew

area

p_pelagic

11

1

1

0.452

0.449

0.216

0.708

1.016

0.130

0.023

CSEO

p_pelagic

11

1

2

0.386

0.379

0.164

0.645

1.011

0.126

0.055

CSEO

p_pelagic

11

10

1

0.453

0.451

0.208

0.717

1.013

0.133

0.015

CSEO

p_pelagic

11

10

2

0.388

0.381

0.174

0.647

1.014

0.125

0.056

CSEO

p_pelagic

11

11

1

0.455

0.453

0.212

0.716

1.017

0.131

0.015

CSEO

p_pelagic

11

11

2

0.386

0.380

0.162

0.650

1.012

0.126

0.048

CSEO

p_pelagic

11

12

1

0.453

0.453

0.206

0.709

1.015

0.133

0.000

CSEO

p_pelagic

11

12

2

0.388

0.381

0.171

0.659

1.014

0.126

0.055

CSEO

p_pelagic

11

13

1

0.455

0.453

0.208

0.705

1.014

0.129

0.016

CSEO

p_pelagic

11

13

2

0.390

0.384

0.168

0.641

1.011

0.125

0.048

CSEO

p_pelagic

11

15

1

0.457

0.457

0.213

0.707

1.012

0.131

0.000

CSEO

p_pelagic

11

15

2

0.388

0.380

0.168

0.651

1.015

0.128

0.063

CSEO

p_pelagic

11

16

2

0.392

0.385

0.169

0.661

1.016

0.129

0.054

CSEO

p_pelagic

11

17

1

0.457

0.456

0.217

0.713

1.010

0.130

0.008

CSEO

p_pelagic

11

17

2

0.392

0.385

0.177

0.639

1.011

0.122

0.058

CSEO

p_pelagic

11

18

1

0.455

0.452

0.220

0.710

1.014

0.129

0.023

CSEO

p_pelagic

11

18

2

0.388

0.377

0.161

0.645

1.011

0.126

0.087

CSEO

p_pelagic

11

19

1

0.459

0.461

0.212

0.719

1.024

0.131

-0.015

CSEO

p_pelagic

11

19

2

0.390

0.382

0.172

0.654

1.012

0.124

0.064

CSEO

p_pelagic

11

2

1

0.455

0.452

0.209

0.698

1.017

0.130

0.023

CSEO

p_pelagic

11

2

2

0.390

0.385

0.166

0.643

1.011

0.127

0.039

CSEO

p_pelagic

11

20

2

0.391

0.382

0.168

0.657

1.013

0.126

0.072

CSEO

p_pelagic

11

21

2

0.392

0.385

0.175

0.646

1.012

0.124

0.056

CSEO

p_pelagic

11

3

1

0.454

0.451

0.210

0.709

1.012

0.130

0.023

CSEO

p_pelagic

11

3

2

0.387

0.378

0.173

0.647

1.010

0.125

0.072

CSEO

p_pelagic

11

5

1

0.456

0.452

0.215

0.711

1.015

0.131

0.031

CSEO

p_pelagic

11

5

2

0.394

0.386

0.170

0.655

1.014

0.129

0.062

CSEO

p_pelagic

11

6

1

0.453

0.447

0.208

0.715

1.013

0.132

0.046

CSEO

p_pelagic

11

6

2

0.385

0.376

0.162

0.648

1.012

0.127

0.071

CSEO

p_pelagic

11

7

2

0.388

0.380

0.166

0.655

1.011

0.126

0.063

CSEO

p_pelagic

11

8

1

0.453

0.450

0.211

0.708

1.013

0.130

0.023

CSEO

p_pelagic

11

8

2

0.391

0.387

0.167

0.654

1.014

0.127

0.031

CSEO

p_pelagic

11

9

1

0.455

0.453

0.208

0.716

1.022

0.131

0.015

CSEO

p_pelagic

11

9

2

0.388

0.380

0.168

0.656

1.018

0.126

0.063

CSEO

p_pelagic

13

1

1

0.421

0.422

0.157

0.703

1.021

0.144

-0.007

NSEI

p_pelagic

13

1

2

0.202

0.186

0.055

0.434

1.012

0.100

0.159

NSEI

p_pelagic

13

10

1

0.432

0.427

0.174

0.712

1.021

0.145

0.035

NSEI

p_pelagic

13

10

2

0.205

0.190

0.062

0.436

1.016

0.097

0.154

NSEI

p_pelagic

13

11

1

0.431

0.430

0.165

0.715

1.020

0.145

0.007

NSEI

p_pelagic

13

11

2

0.206

0.191

0.063

0.444

1.014

0.100

0.150

NSEI

p_pelagic

13

12

1

0.436

0.435

0.170

0.716

1.020

0.143

0.007

NSEI

p_pelagic

13

12

2

0.209

0.193

0.062

0.442

1.017

0.100

0.159

NSEI

p_pelagic

13

13

1

0.437

0.432

0.186

0.711

1.018

0.137

0.036

NSEI

p_pelagic

13

13

2

0.209

0.193

0.063

0.439

1.013

0.099

0.162

NSEI

p_pelagic

13

14

1

0.437

0.435

0.183

0.721

1.015

0.139

0.014

NSEI

p_pelagic

13

16

1

0.442

0.439

0.190

0.710

1.012

0.137

0.022

NSEI

p_pelagic

13

16

2

0.213

0.199

0.067

0.436

1.019

0.097

0.144

NSEI

p_pelagic

13

17

2

0.211

0.195

0.068

0.429

1.010

0.095

0.168

NSEI

p_pelagic

13

18

1

0.447

0.445

0.195

0.707

1.010

0.133

0.015

NSEI

p_pelagic

13

19

1

0.455

0.454

0.211

0.715

1.011

0.132

0.008

NSEI

p_pelagic

13

2

1

0.424

0.422

0.156

0.700

1.023

0.143

0.014

NSEI

p_pelagic

13

2

2

0.204

0.188

0.056

0.435

1.012

0.101

0.158

NSEI

p_pelagic

13

3

1

0.422

0.420

0.151

0.714

1.024

0.148

0.014

NSEI

p_pelagic

13

3

2

0.201

0.185

0.057

0.440

1.014

0.099

0.162

NSEI

p_pelagic

13

4

1

0.423

0.423

0.157

0.703

1.022

0.146

0.000

NSEI

p_pelagic

13

4

2

0.201

0.188

0.056

0.436

1.011

0.099

0.131

NSEI

p_pelagic

13

5

1

0.428

0.427

0.170

0.721

1.019

0.146

0.007

NSEI

p_pelagic

13

5

2

0.202

0.184

0.059

0.430

1.013

0.101

0.178

NSEI

p_pelagic

13

6

1

0.427

0.426

0.161

0.705

1.017

0.145

0.007

NSEI

p_pelagic

13

6

2

0.203

0.187

0.056

0.439

1.012

0.101

0.159

NSEI

p_pelagic

13

7

1

0.427

0.424

0.171

0.715

1.018

0.143

0.021

NSEI

p_pelagic

13

8

1

0.426

0.424

0.157

0.703

1.020

0.144

0.014

NSEI

p_pelagic

13

9

1

0.431

0.430

0.171

0.707

1.024

0.143

0.007

NSEI

p_pelagic

13

9

2

0.207

0.187

0.062

0.443

1.012

0.101

0.199

NSEI

p_slope

14

28

2

0.075

0.053

0.009

0.261

1.010

0.068

0.326

NSEO

p_pelagic

16

1

2

0.363

0.356

0.132

0.639

1.012

0.135

0.052

SSEO

p_pelagic

16

11

1

0.391

0.383

0.143

0.661

1.016

0.137

0.058

SSEO

p_pelagic

16

14

1

0.398

0.391

0.165

0.669

1.012

0.132

0.053

SSEO

p_pelagic

16

15

1

0.397

0.390

0.159

0.675

1.010

0.135

0.052

SSEO

p_slope

16

2

1

0.081

0.060

0.011

0.275

1.019

0.070

0.298

SSEO

p_pelagic

16

21

1

0.419

0.411

0.186

0.683

1.012

0.130

0.061

SSEO

p_pelagic

16

4

2

0.368

0.357

0.133

0.658

1.010

0.138

0.080

SSEO

p_pelagic

16

7

1

0.386

0.377

0.150

0.663

1.011

0.135

0.067

SSEO

p_pelagic

16

7

2

0.370

0.361

0.136

0.655

1.012

0.138

0.065

SSEO

p_pelagic

16

9

1

0.390

0.385

0.146

0.671

1.014

0.137

0.037

SSEO

p_pelagic

3

4

1

0.544

0.549

0.269

0.785

1.011

0.134

-0.037

PWSI

p_pelagic

3

6

1

0.542

0.549

0.268

0.784

1.012

0.136

-0.051

PWSI

p_pelagic

4

1

1

0.551

0.555

0.277

0.790

1.011

0.134

-0.030

PWSO

p_pelagic

4

1

2

0.548

0.555

0.268

0.796

1.015

0.137

-0.051

PWSO

p_pelagic

4

10

1

0.551

0.559

0.283

0.793

1.015

0.134

-0.060

PWSO

p_pelagic

4

10

2

0.550

0.554

0.275

0.800

1.011

0.137

-0.029

PWSO

p_pelagic

4

11

1

0.555

0.562

0.282

0.796

1.014

0.135

-0.052

PWSO

p_pelagic

4

11

2

0.553

0.558

0.284

0.799

1.016

0.135

-0.037

PWSO

p_pelagic

4

12

1

0.558

0.564

0.287

0.799

1.017

0.135

-0.044

PWSO

p_pelagic

4

13

1

0.554

0.556

0.284

0.792

1.015

0.131

-0.015

PWSO

p_pelagic

4

13

2

0.552

0.557

0.281

0.801

1.014

0.134

-0.037

PWSO

p_pelagic

4

14

1

0.551

0.558

0.283

0.787

1.014

0.133

-0.052

PWSO

p_pelagic

4

14

2

0.552

0.559

0.274

0.800

1.013

0.137

-0.051

PWSO

p_pelagic

4

15

1

0.551

0.556

0.284

0.799

1.014

0.134

-0.037

PWSO

p_pelagic

4

15

2

0.549

0.552

0.279

0.798

1.013

0.134

-0.022

PWSO

p_pelagic

4

16

2

0.552

0.558

0.276

0.795

1.014

0.133

-0.045

PWSO

p_black

4

17

1

0.884

0.917

0.591

0.989

1.016

0.110

-0.301

PWSO

p_pelagic

4

2

1

0.555

0.562

0.283

0.789

1.022

0.135

-0.052

PWSO

p_pelagic

4

2

2

0.545

0.551

0.274

0.789

1.013

0.135

-0.044

PWSO

p_pelagic

4

3

1

0.554

0.560

0.278

0.792

1.017

0.134

-0.045

PWSO

p_pelagic

4

3

2

0.550

0.555

0.273

0.796

1.020

0.136

-0.037

PWSO

p_pelagic

4

4

1

0.549

0.557

0.275

0.798

1.012

0.135

-0.059

PWSO

p_pelagic

4

5

1

0.554

0.560

0.273

0.795

1.018

0.136

-0.044

PWSO

p_pelagic

4

5

2

0.549

0.554

0.280

0.794

1.021

0.136

-0.037

PWSO

p_pelagic

4

6

1

0.550

0.558

0.275

0.790

1.011

0.135

-0.059

PWSO

p_pelagic

4

7

1

0.554

0.560

0.280

0.790

1.019

0.132

-0.045

PWSO

p_pelagic

4

7

2

0.551

0.559

0.270

0.800

1.015

0.137

-0.058

PWSO

p_pelagic

4

8

1

0.556

0.562

0.278

0.805

1.016

0.137

-0.044

PWSO

p_pelagic

4

8

2

0.549

0.554

0.278

0.791

1.012

0.135

-0.037

PWSO

p_pelagic

4

9

1

0.553

0.560

0.274

0.794

1.014

0.135

-0.052

PWSO

p_pelagic

4

9

2

0.547

0.549

0.281

0.802

1.016

0.137

-0.015

PWSO

p_yellow

4

9

2

0.877

0.893

0.688

0.976

1.012

0.074

-0.215

PWSO

p_black

8

40

1

0.448

0.413

0.341

0.952

1.104

0.139

0.252

afognak

p_black

8

43

1

0.440

0.439

0.368

0.516

1.023

0.043

0.023

afognak

p_black

8

48

1

0.532

0.493

0.415

0.966

1.021

0.137

0.285

afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable

area_n

year/species

mean

median

lower

upper

Rhat

sd

skew

year

area

beta0_pH

10

1

-0.168

0.032

-1.976

0.478

1.879

0.625

-0.320

northeast

beta1_pH

10

1

2.748

2.469

1.737

4.855

1.826

0.841

0.332

northeast

beta2_pH

10

1

0.877

0.578

0.175

3.722

1.283

1.012

0.295

northeast

beta3_pH

10

1

31.659

31.894

27.188

34.604

1.333

1.733

-0.136

northeast

beta0_pH

11

1

0.202

0.213

-0.761

0.870

1.311

0.439

-0.025

CSEO

beta0_pH

11

3

1.696

1.798

0.231

2.835

2.260

0.724

-0.141

CSEO

beta0_pH

11

4

0.811

0.833

-0.232

1.676

1.224

0.489

-0.045

CSEO

beta1_pH

11

1

3.191

3.162

2.183

4.464

1.215

0.616

0.047

CSEO

beta1_pH

11

3

1.505

1.421

0.092

3.150

2.158

0.865

0.097

CSEO

beta1_pH

11

4

2.007

2.014

0.936

3.135

1.208

0.555

-0.013

CSEO

beta2_pH

11

3

-7.512

-6.168

-21.652

-0.700

1.103

5.554

-0.242

CSEO

beta2_pH

11

4

-5.497

-4.185

-16.860

-0.721

1.354

4.244

-0.309

CSEO

beta3_pH

11

1

31.711

31.767

29.249

34.453

1.140

1.402

-0.040

CSEO

beta3_pH

11

3

39.832

40.139

32.833

42.578

1.194

2.213

-0.139

CSEO

beta0_pelagic

11

-0.198

-0.167

-0.794

0.167

1.103

0.238

-0.130

CSEO

beta1_pelagic

11

1.213

1.174

0.728

1.979

1.101

0.311

0.125

CSEO

beta0_pH

12

3

1.273

1.282

-0.363

2.709

1.195

0.842

-0.011

EWYKT

beta1_pH

12

3

2.831

2.823

1.287

4.504

1.152

0.834

0.010

EWYKT

beta2_pH

12

4

-5.646

-4.484

-16.852

-0.889

1.351

4.241

-0.274

EWYKT

beta3_pH

12

3

41.381

42.091

38.588

42.858

1.152

1.348

-0.527

EWYKT

beta0_pH

13

3

1.697

1.799

0.193

2.618

3.228

0.760

-0.134

NSEI

beta0_pH

13

4

0.605

0.676

-0.885

1.548

1.426

0.582

-0.122

NSEI

beta1_pH

13

3

1.176

1.087

0.210

2.770

3.358

0.863

0.103

NSEI

beta1_pH

13

4

1.419

1.365

0.384

2.936

1.412

0.609

0.089

NSEI

beta2_pH

13

4

-5.638

-4.876

-16.733

-0.929

1.458

3.968

-0.192

NSEI

beta3_pH

13

3

40.712

41.005

36.701

42.765

1.272

1.598

-0.183

NSEI

beta0_pelagic

13

-0.354

-0.264

-1.365

0.234

1.108

0.438

-0.206

NSEI

beta2_black

13

-1.980

-1.687

-4.983

-0.423

1.265

1.241

-0.236

NSEI

beta0_pH

14

3

0.731

0.734

-0.263

1.799

1.117

0.515

-0.006

NSEO

beta0_pH

14

4

0.322

0.356

-0.804

1.159

1.228

0.492

-0.069

NSEO

beta1_pH

14

3

2.020

2.051

0.704

3.147

1.124

0.603

-0.051

NSEO

beta1_pH

14

4

2.056

2.034

1.060

3.253

1.233

0.558

0.039

NSEO

beta2_pH

14

4

-5.463

-3.706

-16.716

-0.989

1.499

4.205

-0.418

NSEO

beta0_pH

15

3

1.726

2.201

0.078

2.422

6.144

0.803

-0.592

SSEI

beta0_pH

15

4

0.465

0.510

-0.780

1.551

1.400

0.549

-0.082

SSEI

beta1_pH

15

3

0.857

0.263

0.035

2.826

6.622

0.984

0.604

SSEI

beta1_pH

15

4

1.556

1.518

0.315

2.892

1.353

0.594

0.064

SSEI

beta2_pH

15

4

-5.364

-3.899

-16.650

-0.707

1.456

4.277

-0.343

SSEI

beta3_pH

15

3

38.818

40.129

29.874

42.345

1.333

3.157

-0.415

SSEI

beta3_pH

15

4

41.272

41.291

38.923

42.833

1.113

1.049

-0.018

SSEI

beta1_pelagic

15

0.131

0.065

0.011

0.592

1.189

0.156

0.422

SSEI

beta0_pH

16

3

1.334

1.263

0.095

2.668

1.500

0.717

0.099

SSEO

beta0_pH

16

4

0.715

0.725

-0.377

1.726

1.108

0.519

-0.019

SSEO

beta1_pH

16

3

3.184

3.274

1.699

4.448

1.493

0.770

-0.117

SSEO

beta2_pH

16

4

-6.076

-4.915

-16.651

-1.534

1.423

3.985

-0.291

SSEO

mu_beta0_pH

2

1

-0.503

-0.340

-2.734

0.674

1.210

0.858

-0.190

NG

mu_beta1_pH

2

1

3.037

2.536

1.437

8.246

1.158

1.812

0.276

NG

mu_beta2_pH

2

1

0.928

0.615

-0.099

3.788

1.227

1.008

0.311

NG

tau_beta2_pH

2

1

14.760

3.808

0.082

81.275

1.178

22.339

0.490

NG

beta2_pH

2

1

0.413

0.292

0.121

1.748

1.114

0.411

0.294

NG

beta3_pH

2

1

31.691

31.499

26.628

40.022

1.117

2.936

0.065

NG

mu_beta0_pH

3

3

1.397

1.430

0.163

2.525

1.856

0.676

-0.049

PWSI

mu_beta0_pH

3

4

0.626

0.638

-0.368

1.531

1.261

0.489

-0.025

PWSI

tau_beta0_pH

3

3

6.873

2.053

0.181

49.864

1.451

13.400

0.360

PWSI

mu_beta1_pH

3

3

1.559

1.273

0.179

3.679

1.889

1.077

0.265

PWSI

mu_beta1_pH

3

4

2.128

2.081

0.830

3.696

1.106

0.781

0.060

PWSI

tau_beta1_pH

3

3

4.715

0.769

0.086

32.338

1.817

9.526

0.414

PWSI

tau_beta1_pH

3

4

7.158

3.896

0.334

37.662

1.190

10.624

0.307

PWSI

mu_beta2_pH

3

4

-5.246

-4.043

-16.150

-0.388

1.468

4.167

-0.289

PWSI

beta0_pH

3

1

0.634

0.674

-0.776

1.576

1.116

0.573

-0.070

PWSI

beta2_pH

3

1

0.298

0.194

0.078

1.312

1.166

0.327

0.318

PWSI

beta4_pH

3

5

0.887

0.580

0.101

3.577

1.199

1.888

0.163

PWSI

beta3_pH

4

1

31.338

30.959

27.188

37.727

1.173

2.624

0.144

PWSO

beta0_pelagic

4

0.228

0.253

-0.523

0.745

1.130

0.284

-0.088

PWSO

beta1_pelagic

4

0.814

0.796

0.252

1.578

1.121

0.305

0.059

PWSO

beta0_pH

5

1

-1.165

-0.982

-3.442

-0.334

1.312

0.743

-0.246

BSAI

beta1_pH

5

1

2.753

2.547

1.739

5.346

1.325

0.856

0.241

BSAI

beta2_pH

5

1

1.565

1.139

0.229

5.404

1.148

1.421

0.300

BSAI

beta3_pH

5

1

27.170

27.272

23.900

29.543

1.142

1.257

-0.081

BSAI

beta0_pH

6

1

-0.567

-0.421

-2.130

0.169

1.196

0.583

-0.250

SOKO2SAP

beta1_pH

6

1

2.512

2.279

1.184

5.380

1.199

1.046

0.223

SOKO2SAP

beta2_pH

6

1

0.719

0.350

0.095

3.856

1.176

1.081

0.341

SOKO2SAP

beta4_pH

6

3

0.996

0.761

0.192

3.078

1.158

1.584

0.148

SOKO2SAP

beta4_pH

6

5

0.996

0.748

0.196

3.001

1.173

2.071

0.120

SOKO2SAP

beta4_pH

7

5

0.900

0.814

0.347

1.873

1.206

0.823

0.104

WKMA

beta0_pH

8

1

-0.416

-0.361

-1.343

0.052

1.398

0.331

-0.166

afognak

beta1_pH

8

1

2.581

2.444

1.155

4.722

1.453

0.967

0.142

afognak

beta2_pH

8

1

0.788

0.422

0.110

3.610

1.210

0.994

0.368

afognak

beta3_pH

8

1

37.759

38.690

30.280

43.032

1.375

3.674

-0.253

afognak

beta0_pH

9

1

-0.821

-0.758

-2.124

-0.078

1.241

0.512

-0.123

eastside

beta1_pH

9

1

2.525

2.448

1.416

4.178

1.217

0.707

0.109

eastside

beta2_pH

9

1

0.718

0.397

0.155

3.630

1.283

0.984

0.326

eastside

beta3_pH

9

1

30.110

29.822

26.220

35.654

1.223

2.425

0.119

eastside

tau_beta5_black_kod

0.358

0.189

0.043

1.514

1.177

0.905

0.187

b1_pG

1

4.747

4.301

2.207

9.029

1.154

2.739

0.163

CI

b2_pG

1

4.276

3.890

1.869

8.373

1.110

2.337

0.165

CI

lambda_H

10

0.315

0.175

0.025

1.252

1.190

0.913

0.153

northeast

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.01

775.00

285.00

1,607.00

451.00

Prop. of total

0.73

0.27

0.78

0.22

Prop. median less than 1

0.24

0.16

0.23

0.35

Prop. median less than 10

0.34

0.39

0.40

0.59

Prop. median less than 50

0.43

0.58

0.53

0.72

Median of the median values

151.09

24.08

36.17

4.52

Mean of the median values

1,189.67

542.90

542.96

220.00

Mean skew of posteriors

0.22

0.25

0.27

0.24

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.1

8.00

8.00

181.00

89.00

Prop. of total

0.50

0.50

0.67

0.33

Prop. median less than 1

0.00

0.50

0.38

0.34

Prop. median less than 10

0.25

0.75

0.48

0.61

Prop. median less than 50

0.38

1.00

0.51

0.82

Median of the median values

75.72

0.74

26.52

3.99

Mean of the median values

283.19

7.37

800.15

30.06

Mean skew of posteriors

0.23

0.19

0.22

0.18

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable

Freq

b1_pG

1

b2_pG

1

beta0_pelagic

1

beta0_pH

17

beta1_pelagic

2

beta1_pH

16

beta2_black

1

beta2_pH

13

beta3_pH

12

beta4_pH

4

H_ay

3

H_ayu

3

Hb_ayu

2

Ho_ay

2

Ho_ayu

4

Hp_ay

2

Hp_ayu

2

Hs_ayu

2

Hy_ay

1

Hy_ayg

1

Hy_ayu

3

lambda_H

1

mu_beta0_pH

3

mu_beta1_pH

2

mu_beta2_pH

2

p_slope

1

pH

26

R_ay

47

R_ayg

57

R_ayu

22

Rb_ay

41

Rb_ayg

61

Rb_ayu

2

Rd_ay

1

Rd_ayg

1

Rd_ayu

2

re_pelagic

6

re_pH

109

Ro_ay

39

Ro_ayg

23

Ro_ayu

47

Rp_ay

40

Rp_ayg

61

Rp_ayu

2

Rs_ay

7

Rs_ayg

14

Rs_ayu

23

Ry_ay

13

Ry_ayg

3

Ry_ayu

28

sd_pH

1

tau_beta0_pH

1

tau_beta1_pH

2

tau_beta2_pH

1

tau_beta5_black_kod

1

tau_pH

1

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.142 0.066 -0.263 -0.145 -0.007
mu_bc_H[2] -0.108 0.040 -0.180 -0.110 -0.024
mu_bc_H[3] -0.410 0.071 -0.550 -0.411 -0.271
mu_bc_H[4] -1.157 0.235 -1.636 -1.144 -0.731
mu_bc_H[5] 1.305 1.189 -0.016 1.021 4.419
mu_bc_H[6] -2.323 0.355 -2.985 -2.340 -1.597
mu_bc_H[7] -0.482 0.108 -0.717 -0.479 -0.280
mu_bc_H[8] 0.259 0.357 -0.349 0.227 1.064
mu_bc_H[9] -0.344 0.143 -0.630 -0.343 -0.070
mu_bc_H[10] -0.122 0.064 -0.244 -0.121 0.000
mu_bc_H[11] -0.114 0.039 -0.190 -0.113 -0.036
mu_bc_H[12] -0.239 0.113 -0.477 -0.233 -0.035
mu_bc_H[13] -0.183 0.077 -0.329 -0.184 -0.029
mu_bc_H[14] -0.367 0.104 -0.583 -0.364 -0.172
mu_bc_H[15] -0.335 0.047 -0.424 -0.335 -0.240
mu_bc_H[16] -0.265 0.366 -0.936 -0.282 0.547
mu_bc_R[1] 1.636 0.187 1.271 1.635 2.014
mu_bc_R[2] 1.610 0.092 1.432 1.609 1.791
mu_bc_R[3] 1.368 0.150 1.069 1.371 1.652
mu_bc_R[4] 1.094 0.185 0.726 1.091 1.447
mu_bc_R[5] 1.525 0.800 -0.097 1.529 3.022
mu_bc_R[6] -2.019 0.708 -3.473 -2.015 -0.670
mu_bc_R[7] 0.303 0.196 -0.086 0.301 0.686
mu_bc_R[8] 0.518 0.235 0.060 0.521 0.968
mu_bc_R[9] 0.623 0.265 0.078 0.631 1.135
mu_bc_R[10] 1.565 0.165 1.234 1.568 1.885
mu_bc_R[11] 0.985 0.132 0.725 0.984 1.244
mu_bc_R[12] 0.956 0.283 0.404 0.957 1.536
mu_bc_R[13] 1.133 0.164 0.813 1.132 1.470
mu_bc_R[14] 1.182 0.222 0.730 1.182 1.624
mu_bc_R[15] 0.696 0.181 0.326 0.691 1.063
mu_bc_R[16] 1.121 0.164 0.783 1.123 1.440
tau_pH[1] 2.412 0.180 2.084 2.405 2.795
tau_pH[2] 1.601 0.151 1.327 1.596 1.909
tau_pH[3] 1.249 0.131 1.016 1.242 1.527
tau_pH[4] 1.130 0.153 0.849 1.123 1.464
tau_pH[5] 0.434 0.079 0.294 0.427 0.612
beta0_pH[1,1] 0.308 0.255 -0.243 0.333 0.743
beta0_pH[2,1] 0.665 0.411 -0.141 0.685 1.412
beta0_pH[3,1] 0.634 0.573 -0.776 0.674 1.576
beta0_pH[4,1] 0.648 0.533 -0.538 0.701 1.523
beta0_pH[5,1] -1.165 0.743 -3.442 -0.982 -0.334
beta0_pH[6,1] -0.567 0.583 -2.130 -0.421 0.169
beta0_pH[7,1] 0.758 0.011 0.738 0.758 0.779
beta0_pH[8,1] -0.416 0.331 -1.343 -0.361 0.052
beta0_pH[9,1] -0.821 0.512 -2.124 -0.758 -0.078
beta0_pH[10,1] -0.168 0.625 -1.976 0.032 0.478
beta0_pH[11,1] 0.202 0.439 -0.761 0.213 0.870
beta0_pH[12,1] 0.552 0.250 -0.007 0.573 0.993
beta0_pH[13,1] -0.853 0.162 -1.185 -0.842 -0.571
beta0_pH[14,1] -0.131 0.182 -0.516 -0.114 0.196
beta0_pH[15,1] -0.136 0.286 -0.756 -0.115 0.376
beta0_pH[16,1] -0.695 0.232 -1.234 -0.677 -0.299
beta0_pH[1,2] 2.566 0.084 2.403 2.566 2.736
beta0_pH[2,2] 3.080 0.022 3.038 3.080 3.124
beta0_pH[3,2] 3.626 0.040 3.545 3.626 3.705
beta0_pH[4,2] 2.936 0.019 2.900 2.936 2.973
beta0_pH[5,2] 4.581 1.366 2.844 4.296 7.901
beta0_pH[6,2] 3.323 0.157 3.028 3.321 3.639
beta0_pH[7,2] 2.034 0.050 1.940 2.033 2.133
beta0_pH[8,2] 2.822 0.067 2.693 2.822 2.956
beta0_pH[9,2] 3.957 0.209 3.555 3.950 4.386
beta0_pH[10,2] 4.001 0.128 3.752 3.997 4.264
beta0_pH[11,2] 1.885 0.009 1.867 1.885 1.902
beta0_pH[12,2] 1.789 0.069 1.659 1.788 1.927
beta0_pH[13,2] 2.497 0.026 2.448 2.497 2.549
beta0_pH[14,2] 1.804 0.024 1.757 1.804 1.852
beta0_pH[15,2] 2.545 0.017 2.512 2.545 2.579
beta0_pH[16,2] 2.759 0.025 2.711 2.760 2.809
beta0_pH[1,3] 1.130 0.335 0.331 1.188 1.661
beta0_pH[2,3] 2.128 0.018 2.093 2.127 2.163
beta0_pH[3,3] 2.693 0.024 2.647 2.692 2.739
beta0_pH[4,3] 2.980 0.035 2.911 2.980 3.048
beta0_pH[5,3] 3.406 1.935 0.928 2.977 8.320
beta0_pH[6,3] 1.377 0.367 0.727 1.344 2.153
beta0_pH[7,3] 0.859 0.049 0.765 0.859 0.960
beta0_pH[8,3] 0.255 0.296 -0.283 0.293 0.580
beta0_pH[9,3] -2.972 0.907 -4.994 -2.901 -1.397
beta0_pH[10,3] -0.823 1.123 -3.601 -0.616 0.834
beta0_pH[11,3] 1.696 0.724 0.231 1.798 2.835
beta0_pH[12,3] 1.273 0.842 -0.363 1.282 2.709
beta0_pH[13,3] 1.697 0.760 0.193 1.799 2.618
beta0_pH[14,3] 0.731 0.515 -0.263 0.734 1.799
beta0_pH[15,3] 1.726 0.803 0.078 2.201 2.422
beta0_pH[16,3] 1.334 0.717 0.095 1.263 2.668
beta0_pH[11,4] 0.811 0.489 -0.232 0.833 1.676
beta0_pH[12,4] 0.866 0.628 -0.300 0.828 2.151
beta0_pH[13,4] 0.605 0.582 -0.885 0.676 1.548
beta0_pH[14,4] 0.322 0.492 -0.804 0.356 1.159
beta0_pH[15,4] 0.465 0.549 -0.780 0.510 1.551
beta0_pH[16,4] 0.715 0.519 -0.377 0.725 1.726
beta0_pH[11,5] 2.974 0.148 2.700 2.964 3.276
beta0_pH[12,5] -0.682 0.569 -1.815 -0.681 0.452
beta0_pH[13,5] 4.883 0.407 4.160 4.865 5.720
beta0_pH[14,5] 3.883 0.363 3.225 3.859 4.641
beta0_pH[15,5] 2.285 0.124 2.051 2.278 2.542
beta0_pH[16,5] 0.309 0.119 0.123 0.293 0.582
beta1_pH[1,1] 3.262 0.687 2.236 3.142 5.078
beta1_pH[2,1] 2.850 0.695 1.689 2.837 4.343
beta1_pH[3,1] 3.279 1.086 1.551 3.070 5.763
beta1_pH[4,1] 3.387 0.953 1.902 3.204 5.689
beta1_pH[5,1] 2.753 0.856 1.739 2.547 5.346
beta1_pH[6,1] 2.512 1.046 1.184 2.279 5.380
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 2.581 0.967 1.155 2.444 4.722
beta1_pH[9,1] 2.525 0.707 1.416 2.448 4.178
beta1_pH[10,1] 2.748 0.841 1.737 2.469 4.855
beta1_pH[11,1] 3.191 0.616 2.183 3.162 4.464
beta1_pH[12,1] 2.953 0.349 2.297 2.938 3.693
beta1_pH[13,1] 3.676 0.236 3.239 3.662 4.140
beta1_pH[14,1] 3.081 0.336 2.492 3.055 3.779
beta1_pH[15,1] 2.666 0.395 1.956 2.653 3.542
beta1_pH[16,1] 3.669 0.327 3.089 3.640 4.381
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 1.859 0.960 0.065 1.792 4.120
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 4.639 2.088 1.516 4.248 9.633
beta1_pH[9,3] 5.646 1.415 3.588 5.389 9.187
beta1_pH[10,3] 6.379 2.928 2.732 5.566 13.585
beta1_pH[11,3] 1.505 0.865 0.092 1.421 3.150
beta1_pH[12,3] 2.831 0.834 1.287 2.823 4.504
beta1_pH[13,3] 1.176 0.863 0.210 1.087 2.770
beta1_pH[14,3] 2.020 0.603 0.704 2.051 3.147
beta1_pH[15,3] 0.857 0.984 0.035 0.263 2.826
beta1_pH[16,3] 3.184 0.770 1.699 3.274 4.448
beta1_pH[11,4] 2.007 0.555 0.936 2.014 3.135
beta1_pH[12,4] 2.967 0.639 1.687 2.978 4.240
beta1_pH[13,4] 1.419 0.609 0.384 1.365 2.936
beta1_pH[14,4] 2.056 0.558 1.060 2.034 3.253
beta1_pH[15,4] 1.556 0.594 0.315 1.518 2.892
beta1_pH[16,4] 3.388 0.611 2.228 3.384 4.652
beta1_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1] 0.548 0.348 0.203 0.462 1.466
beta2_pH[2,1] 0.413 0.411 0.121 0.292 1.748
beta2_pH[3,1] 0.298 0.327 0.078 0.194 1.312
beta2_pH[4,1] 0.298 0.221 0.103 0.245 0.805
beta2_pH[5,1] 1.565 1.421 0.229 1.139 5.404
beta2_pH[6,1] 0.719 1.081 0.095 0.350 3.856
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 0.788 0.994 0.110 0.422 3.610
beta2_pH[9,1] 0.718 0.984 0.155 0.397 3.630
beta2_pH[10,1] 0.877 1.012 0.175 0.578 3.722
beta2_pH[11,1] 0.520 0.358 0.182 0.392 1.444
beta2_pH[12,1] 1.485 0.789 0.492 1.267 3.553
beta2_pH[13,1] 0.966 0.328 0.524 0.895 1.711
beta2_pH[14,1] 1.029 0.628 0.366 0.841 2.966
beta2_pH[15,1] 0.761 0.479 0.277 0.623 2.145
beta2_pH[16,1] 1.279 0.540 0.640 1.141 2.810
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 7.143 6.312 0.235 5.980 21.119
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 1.743 1.633 0.195 1.203 6.349
beta2_pH[9,3] 0.442 0.518 0.159 0.382 0.953
beta2_pH[10,3] 0.445 0.736 0.097 0.278 1.874
beta2_pH[11,3] -7.512 5.554 -21.652 -6.168 -0.700
beta2_pH[12,3] -7.957 5.400 -21.873 -6.633 -1.145
beta2_pH[13,3] -7.754 5.429 -21.083 -6.303 -1.124
beta2_pH[14,3] -7.611 5.428 -21.967 -6.131 -1.309
beta2_pH[15,3] -7.762 5.412 -21.867 -6.361 -0.990
beta2_pH[16,3] -7.783 5.339 -21.520 -6.262 -1.630
beta2_pH[11,4] -5.497 4.244 -16.860 -4.185 -0.721
beta2_pH[12,4] -5.646 4.241 -16.852 -4.484 -0.889
beta2_pH[13,4] -5.638 3.968 -16.733 -4.876 -0.929
beta2_pH[14,4] -5.463 4.205 -16.716 -3.706 -0.989
beta2_pH[15,4] -5.364 4.277 -16.650 -3.899 -0.707
beta2_pH[16,4] -6.076 3.985 -16.651 -4.915 -1.534
beta2_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1] 35.261 1.488 32.657 35.148 38.841
beta3_pH[2,1] 31.691 2.936 26.628 31.499 40.022
beta3_pH[3,1] 32.722 3.862 24.846 32.583 40.603
beta3_pH[4,1] 31.338 2.624 27.188 30.959 37.727
beta3_pH[5,1] 27.170 1.257 23.900 27.272 29.543
beta3_pH[6,1] 34.468 3.774 27.013 34.005 41.995
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 37.759 3.674 30.280 38.690 43.032
beta3_pH[9,1] 30.110 2.425 26.220 29.822 35.654
beta3_pH[10,1] 31.659 1.733 27.188 31.894 34.604
beta3_pH[11,1] 31.711 1.402 29.249 31.767 34.453
beta3_pH[12,1] 30.557 0.525 29.436 30.596 31.473
beta3_pH[13,1] 31.027 0.494 30.109 31.007 32.040
beta3_pH[14,1] 32.373 0.737 31.092 32.332 33.884
beta3_pH[15,1] 30.696 0.858 29.160 30.694 32.519
beta3_pH[16,1] 29.881 0.359 29.180 29.882 30.601
beta3_pH[1,2] 33.822 5.255 25.470 33.664 42.627
beta3_pH[2,2] 33.932 5.238 25.502 33.830 42.534
beta3_pH[3,2] 30.322 7.149 18.581 30.314 42.315
beta3_pH[4,2] 30.361 7.295 18.591 30.003 42.373
beta3_pH[5,2] 30.404 7.191 18.555 30.447 42.229
beta3_pH[6,2] 30.136 7.216 18.497 29.934 42.298
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 38.470 3.129 31.023 39.786 42.150
beta3_pH[2,3] 34.035 5.194 25.501 34.061 42.629
beta3_pH[3,3] 30.608 7.149 18.709 30.552 42.426
beta3_pH[4,3] 30.384 7.320 18.638 30.288 42.532
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 41.992 1.414 39.421 41.992 43.857
beta3_pH[9,3] 30.736 1.343 29.070 30.458 33.577
beta3_pH[10,3] 36.590 2.960 31.429 36.121 43.207
beta3_pH[11,3] 39.832 2.213 32.833 40.139 42.578
beta3_pH[12,3] 41.381 1.348 38.588 42.091 42.858
beta3_pH[13,3] 40.712 1.598 36.701 41.005 42.765
beta3_pH[14,3] 40.351 0.799 38.798 40.384 41.706
beta3_pH[15,3] 38.818 3.157 29.874 40.129 42.345
beta3_pH[16,3] 41.905 0.448 41.008 41.957 42.746
beta3_pH[11,4] 40.559 0.946 38.934 40.469 42.617
beta3_pH[12,4] 41.770 0.933 39.626 42.141 42.854
beta3_pH[13,4] 41.675 0.966 39.683 41.839 42.938
beta3_pH[14,4] 40.508 0.738 38.967 40.553 41.802
beta3_pH[15,4] 41.272 1.049 38.923 41.291 42.833
beta3_pH[16,4] 41.526 0.345 40.926 41.511 42.241
beta3_pH[11,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,5] 25.000 0.000 25.000 25.000 25.000
beta4_pH[1,1] 0.257 0.021 0.216 0.257 0.298
beta4_pH[2,1] 0.208 0.005 0.198 0.208 0.218
beta4_pH[3,1] 0.171 0.007 0.156 0.171 0.185
beta4_pH[4,1] 0.292 0.011 0.270 0.292 0.314
beta4_pH[5,1] 0.839 1.123 0.114 0.604 2.973
beta4_pH[6,1] 0.971 1.158 0.182 0.747 3.003
beta4_pH[7,1] 0.828 0.344 0.325 0.775 1.663
beta4_pH[8,1] 0.158 0.071 0.043 0.151 0.321
beta4_pH[9,1] 0.211 0.088 0.056 0.206 0.396
beta4_pH[10,1] 0.001 0.001 0.000 0.001 0.003
beta4_pH[11,1] 0.450 0.012 0.426 0.450 0.474
beta4_pH[12,1] 0.609 0.024 0.563 0.608 0.656
beta4_pH[13,1] 0.626 0.014 0.600 0.626 0.652
beta4_pH[14,1] 0.646 0.030 0.590 0.646 0.707
beta4_pH[15,1] 0.795 0.022 0.752 0.795 0.840
beta4_pH[16,1] 1.083 0.046 0.994 1.083 1.176
beta4_pH[1,2] 0.310 0.095 0.141 0.304 0.510
beta4_pH[2,2] 0.509 0.023 0.465 0.509 0.555
beta4_pH[3,2] 0.443 0.012 0.420 0.443 0.466
beta4_pH[4,2] 0.652 0.038 0.576 0.652 0.727
beta4_pH[5,2] 0.821 0.995 0.124 0.602 2.740
beta4_pH[6,2] 0.962 1.091 0.197 0.760 2.832
beta4_pH[7,2] 0.888 0.419 0.354 0.806 1.873
beta4_pH[8,2] 0.851 0.209 0.477 0.843 1.283
beta4_pH[9,2] 1.189 1.330 0.306 0.900 3.915
beta4_pH[10,2] 0.455 0.052 0.358 0.453 0.558
beta4_pH[11,2] 1.289 0.054 1.190 1.288 1.397
beta4_pH[12,2] 0.570 0.110 0.373 0.565 0.799
beta4_pH[13,2] 0.950 0.046 0.864 0.947 1.044
beta4_pH[14,2] 0.942 0.067 0.814 0.939 1.077
beta4_pH[15,2] 1.014 0.026 0.964 1.014 1.065
beta4_pH[16,2] 1.328 0.095 1.148 1.328 1.518
beta4_pH[1,3] 0.283 0.086 0.128 0.276 0.463
beta4_pH[2,3] 0.046 0.017 0.016 0.045 0.081
beta4_pH[3,3] 0.044 0.009 0.026 0.044 0.063
beta4_pH[4,3] 0.170 0.032 0.107 0.169 0.235
beta4_pH[5,3] 0.806 0.866 0.118 0.592 2.874
beta4_pH[6,3] 0.996 1.584 0.192 0.761 3.078
beta4_pH[7,3] 0.884 0.448 0.344 0.808 1.847
beta4_pH[8,3] 0.409 0.190 0.100 0.388 0.833
beta4_pH[9,3] 1.045 1.264 0.172 0.729 3.812
beta4_pH[10,3] 0.060 0.041 0.004 0.053 0.153
beta4_pH[11,3] 0.364 0.016 0.335 0.364 0.395
beta4_pH[12,3] 0.422 0.043 0.336 0.422 0.509
beta4_pH[13,3] 0.841 0.038 0.772 0.840 0.919
beta4_pH[14,3] 0.821 0.068 0.697 0.820 0.961
beta4_pH[15,3] 0.636 0.017 0.604 0.636 0.669
beta4_pH[16,3] 0.593 0.048 0.501 0.592 0.691
beta4_pH[1,4] 0.642 0.355 0.212 0.567 1.555
beta4_pH[2,4] 0.838 0.946 0.113 0.581 3.201
beta4_pH[3,4] 0.894 1.072 0.106 0.616 3.309
beta4_pH[4,4] 0.733 0.452 0.213 0.630 1.874
beta4_pH[5,4] 0.825 0.933 0.123 0.597 2.885
beta4_pH[6,4] 0.986 1.048 0.184 0.759 3.106
beta4_pH[7,4] 0.888 0.417 0.340 0.805 1.932
beta4_pH[8,4] 0.744 0.772 0.141 0.595 2.288
beta4_pH[9,4] 0.848 1.191 0.114 0.576 3.163
beta4_pH[10,4] 2.284 7.000 0.007 0.402 20.398
beta4_pH[11,4] 0.445 0.017 0.412 0.445 0.480
beta4_pH[12,4] 0.560 0.055 0.454 0.560 0.673
beta4_pH[13,4] 0.934 0.037 0.867 0.933 1.007
beta4_pH[14,4] 0.919 0.076 0.777 0.917 1.070
beta4_pH[15,4] 0.716 0.020 0.679 0.715 0.757
beta4_pH[16,4] 0.609 0.053 0.508 0.608 0.716
beta4_pH[1,5] 0.625 0.336 0.205 0.562 1.444
beta4_pH[2,5] 0.830 1.068 0.108 0.584 2.836
beta4_pH[3,5] 0.887 1.888 0.101 0.580 3.577
beta4_pH[4,5] 0.735 0.479 0.201 0.629 1.945
beta4_pH[5,5] 0.804 0.885 0.126 0.611 2.521
beta4_pH[6,5] 0.996 2.071 0.196 0.748 3.001
beta4_pH[7,5] 0.900 0.823 0.347 0.814 1.873
beta4_pH[8,5] 0.735 0.729 0.150 0.586 2.198
beta4_pH[9,5] 0.786 0.869 0.107 0.578 2.887
beta4_pH[10,5] 2.047 6.747 0.006 0.404 14.593
beta4_pH[11,5] 0.603 0.051 0.506 0.601 0.708
beta4_pH[12,5] 0.594 0.190 0.296 0.571 1.011
beta4_pH[13,5] 0.775 0.061 0.662 0.771 0.900
beta4_pH[14,5] 0.844 0.119 0.629 0.838 1.096
beta4_pH[15,5] 1.147 0.073 1.013 1.145 1.298
beta4_pH[16,5] 16.464 8.320 6.756 14.642 36.198
beta0_pelagic[1] 2.268 0.035 2.201 2.267 2.339
beta0_pelagic[2] 1.538 0.007 1.524 1.538 1.551
beta0_pelagic[3] 0.186 0.272 -0.519 0.246 0.586
beta0_pelagic[4] 0.228 0.284 -0.523 0.253 0.745
beta0_pelagic[5] 1.443 0.153 1.152 1.438 1.740
beta0_pelagic[6] 1.355 0.061 1.238 1.354 1.476
beta0_pelagic[7] 1.483 0.038 1.413 1.482 1.560
beta0_pelagic[8] 1.674 0.043 1.593 1.673 1.762
beta0_pelagic[9] 2.835 0.069 2.705 2.834 2.973
beta0_pelagic[10] 2.604 0.031 2.544 2.603 2.667
beta0_pelagic[11] -0.198 0.238 -0.794 -0.167 0.167
beta0_pelagic[12] 1.799 0.035 1.735 1.798 1.869
beta0_pelagic[13] -0.354 0.438 -1.365 -0.264 0.234
beta0_pelagic[14] -0.273 0.180 -0.648 -0.264 0.046
beta0_pelagic[15] -0.239 0.056 -0.401 -0.219 -0.187
beta0_pelagic[16] -0.520 0.386 -1.385 -0.459 0.053
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.770 0.321 0.281 0.712 1.575
beta1_pelagic[4] 0.814 0.305 0.252 0.796 1.578
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.213 0.311 0.728 1.174 1.979
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 2.115 0.722 0.920 2.005 3.420
beta1_pelagic[14] 1.863 0.553 1.020 1.746 3.155
beta1_pelagic[15] 0.131 0.156 0.011 0.065 0.592
beta1_pelagic[16] 1.747 0.616 0.774 1.664 3.117
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.421 6.048 0.167 4.824 21.293
beta2_pelagic[4] 7.163 6.011 0.276 5.779 21.551
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 1.652 1.528 0.255 1.128 5.969
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 0.392 0.652 0.101 0.230 2.136
beta2_pelagic[14] 0.867 1.000 0.187 0.541 3.745
beta2_pelagic[15] 2.643 1.940 0.139 2.257 7.386
beta2_pelagic[16] 0.611 0.935 0.105 0.298 3.600
beta3_pelagic[1] 29.581 6.693 18.538 29.490 40.479
beta3_pelagic[2] 29.585 6.697 18.699 29.551 40.468
beta3_pelagic[3] 27.867 2.846 22.992 28.251 32.619
beta3_pelagic[4] 26.063 1.931 21.749 26.277 30.513
beta3_pelagic[5] 29.370 6.573 18.529 29.603 40.262
beta3_pelagic[6] 29.732 6.652 18.647 29.872 40.492
beta3_pelagic[7] 29.546 6.708 18.508 29.664 40.443
beta3_pelagic[8] 29.316 6.568 18.612 29.201 40.303
beta3_pelagic[9] 29.488 6.665 18.536 29.410 40.449
beta3_pelagic[10] 29.602 6.633 18.515 29.537 40.499
beta3_pelagic[11] 29.850 1.353 26.914 29.862 32.586
beta3_pelagic[12] 29.545 6.612 18.643 29.485 40.430
beta3_pelagic[13] 34.667 3.325 28.092 34.680 40.390
beta3_pelagic[14] 34.646 2.125 31.263 34.298 39.579
beta3_pelagic[15] 31.619 7.367 18.634 33.058 40.804
beta3_pelagic[16] 31.707 3.005 25.732 31.570 37.779
beta0_yellow[1] -0.483 0.080 -0.639 -0.483 -0.326
beta0_yellow[2] 0.543 0.088 0.354 0.550 0.685
beta0_yellow[3] -0.208 0.148 -0.476 -0.207 0.017
beta0_yellow[4] 0.934 0.230 0.268 1.001 1.198
beta0_yellow[5] 0.279 0.334 -0.428 0.310 0.843
beta0_yellow[6] 0.822 0.107 0.619 0.824 1.035
beta0_yellow[7] 0.996 0.095 0.818 0.992 1.185
beta0_yellow[8] 1.026 0.093 0.845 1.026 1.207
beta0_yellow[9] 0.512 0.109 0.301 0.513 0.728
beta0_yellow[10] 0.552 0.072 0.409 0.552 0.692
beta0_yellow[11] -0.130 0.086 -0.295 -0.132 0.048
beta0_yellow[12] -1.088 0.096 -1.279 -1.087 -0.899
beta0_yellow[13] -1.151 0.094 -1.339 -1.150 -0.968
beta0_yellow[14] -0.126 0.091 -0.303 -0.125 0.050
beta0_yellow[15] -1.188 0.094 -1.376 -1.188 -1.003
beta0_yellow[16] -0.263 0.096 -0.450 -0.263 -0.067
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.009 0.251 0.570 0.993 1.495
beta1_yellow[3] 0.472 0.328 0.017 0.470 0.950
beta1_yellow[4] 1.267 0.546 0.610 1.155 3.009
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.409 5.642 -21.113 -6.111 -0.386
beta2_yellow[3] -7.648 5.839 -21.860 -6.412 -0.307
beta2_yellow[4] -6.125 5.948 -20.686 -4.482 -0.138
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 28.868 1.142 27.355 28.682 31.747
beta3_yellow[3] 32.209 3.558 21.785 32.591 38.523
beta3_yellow[4] 29.685 3.253 24.322 28.338 35.794
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[14] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[15] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[16] 25.000 0.000 25.000 25.000 25.000
beta0_black[1] 0.010 0.076 -0.140 0.009 0.157
beta0_black[2] 1.854 0.031 1.794 1.854 1.916
beta0_black[3] 1.239 0.037 1.168 1.239 1.311
beta0_black[4] 2.426 0.049 2.332 2.425 2.523
beta0_black[5] 5.192 2.478 1.760 4.675 11.507
beta0_black[6] 5.265 2.242 2.590 4.642 11.012
beta0_black[7] 4.153 2.111 1.645 3.571 9.816
beta0_black[8] 0.876 0.212 0.462 0.877 1.296
beta0_black[9] 2.813 0.273 2.305 2.812 3.370
beta0_black[10] 1.289 0.050 1.194 1.289 1.390
beta0_black[11] 2.978 0.051 2.882 2.978 3.078
beta0_black[12] 4.916 0.191 4.547 4.914 5.296
beta0_black[13] 0.439 0.327 0.017 0.363 1.205
beta0_black[14] 2.849 0.109 2.636 2.848 3.065
beta0_black[15] 0.722 0.051 0.620 0.722 0.821
beta0_black[16] 3.772 0.073 3.626 3.773 3.918
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -1.980 1.241 -4.983 -1.687 -0.423
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 37.459 2.997 29.552 38.071 40.943
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.325 0.092 -0.514 -0.324 -0.143
beta4_black[2] 0.259 0.053 0.159 0.259 0.366
beta4_black[3] -0.720 0.064 -0.842 -0.720 -0.590
beta4_black[4] 0.631 0.133 0.379 0.630 0.895
beta4_black[5] 0.776 1.423 -1.113 0.504 4.261
beta4_black[6] 0.807 1.383 -0.962 0.519 4.153
beta4_black[7] 0.788 1.321 -0.946 0.512 4.296
beta4_black[8] 0.085 0.280 -0.478 0.092 0.625
beta4_black[9] 1.051 0.831 -0.106 0.893 3.144
beta4_black[10] 0.073 0.066 -0.056 0.073 0.201
beta4_black[11] -0.609 0.066 -0.739 -0.609 -0.480
beta4_black[12] 1.235 0.300 0.660 1.217 1.852
beta4_black[13] -1.002 0.076 -1.158 -1.001 -0.848
beta4_black[14] 0.229 0.181 -0.117 0.225 0.586
beta4_black[15] 0.002 0.047 -0.093 0.003 0.093
beta4_black[16] -0.414 0.118 -0.639 -0.416 -0.181
beta0_dsr[11] -0.329 0.010 -0.347 -0.329 -0.310
beta0_dsr[12] 1.411 0.043 1.329 1.410 1.499
beta0_dsr[13] 0.154 0.021 0.114 0.153 0.194
beta0_dsr[14] -0.127 0.017 -0.160 -0.127 -0.092
beta0_dsr[15] 0.206 0.014 0.180 0.206 0.234
beta0_dsr[16] 0.175 0.015 0.146 0.175 0.203
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.543 0.035 0.476 0.543 0.612
beta4_dsr[12] 0.801 0.226 0.366 0.798 1.258
beta4_dsr[13] -0.075 0.040 -0.151 -0.075 0.004
beta4_dsr[14] -0.208 0.072 -0.347 -0.209 -0.066
beta4_dsr[15] 0.215 0.021 0.174 0.215 0.257
beta4_dsr[16] -0.065 0.045 -0.154 -0.064 0.025
beta0_slope[11] -2.209 0.021 -2.250 -2.210 -2.169
beta0_slope[12] -5.172 0.222 -5.645 -5.154 -4.773
beta0_slope[13] -1.501 0.033 -1.568 -1.501 -1.435
beta0_slope[14] -2.712 0.052 -2.819 -2.712 -2.614
beta0_slope[15] -1.592 0.022 -1.635 -1.592 -1.550
beta0_slope[16] -2.708 0.037 -2.781 -2.707 -2.640
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.333 0.075 -0.478 -0.331 -0.183
beta4_slope[12] -4.664 0.785 -6.296 -4.604 -3.266
beta4_slope[13] 0.327 0.053 0.226 0.327 0.431
beta4_slope[14] -0.159 0.149 -0.461 -0.158 0.132
beta4_slope[15] -0.360 0.033 -0.423 -0.360 -0.293
beta4_slope[16] -0.088 0.099 -0.290 -0.089 0.102
beta5_slope[11] 3.068 0.105 2.871 3.066 3.276
beta5_slope[12] 1.998 0.380 1.299 1.983 2.777
beta5_slope[13] 0.876 0.079 0.720 0.874 1.035
beta5_slope[14] 3.751 0.353 3.095 3.737 4.480
beta5_slope[15] 1.307 0.073 1.164 1.307 1.450
beta5_slope[16] 2.731 0.236 2.279 2.723 3.202
tau_comp[1] 3.769 0.292 3.211 3.772 4.348
tau_comp[2] 2.724 0.241 2.284 2.713 3.220
tau_comp[3] 0.871 0.073 0.733 0.869 1.018
tau_comp[4] 1.749 0.267 1.290 1.730 2.328
tau_comp[5] 1.268 0.181 0.938 1.261 1.657
sigma_H[1] 0.197 0.057 0.088 0.195 0.314
sigma_H[2] 0.172 0.028 0.122 0.170 0.232
sigma_H[3] 0.197 0.044 0.119 0.195 0.289
sigma_H[4] 0.395 0.080 0.254 0.388 0.570
sigma_H[5] 1.042 0.230 0.625 1.029 1.514
sigma_H[6] 0.281 0.195 0.011 0.253 0.726
sigma_H[7] 0.276 0.050 0.194 0.270 0.390
sigma_H[8] 0.428 0.089 0.291 0.418 0.626
sigma_H[9] 0.393 0.073 0.278 0.384 0.563
sigma_H[10] 0.223 0.044 0.148 0.219 0.316
sigma_H[11] 0.265 0.044 0.192 0.260 0.365
sigma_H[12] 0.403 0.159 0.201 0.362 0.755
sigma_H[13] 0.203 0.036 0.142 0.200 0.282
sigma_H[14] 0.461 0.093 0.308 0.453 0.659
sigma_H[15] 0.244 0.039 0.177 0.240 0.329
sigma_H[16] 0.222 0.042 0.151 0.217 0.317
lambda_H[1] 2.721 4.407 0.084 1.246 14.178
lambda_H[2] 8.340 8.036 0.742 6.009 29.858
lambda_H[3] 4.664 7.258 0.231 2.384 24.001
lambda_H[4] 0.008 0.006 0.001 0.006 0.023
lambda_H[5] 2.704 6.327 0.016 0.550 21.392
lambda_H[6] 9.518 14.941 0.022 3.678 57.065
lambda_H[7] 0.015 0.010 0.002 0.012 0.040
lambda_H[8] 7.837 9.572 0.091 4.672 35.631
lambda_H[9] 0.020 0.014 0.003 0.017 0.056
lambda_H[10] 0.315 0.913 0.025 0.175 1.252
lambda_H[11] 0.225 0.327 0.010 0.097 1.208
lambda_H[12] 4.536 5.991 0.209 2.681 19.940
lambda_H[13] 3.554 3.328 0.266 2.631 12.863
lambda_H[14] 3.319 3.763 0.218 2.151 12.795
lambda_H[15] 0.021 0.036 0.003 0.015 0.071
lambda_H[16] 0.757 1.243 0.029 0.307 4.364
mu_lambda_H[1] 4.267 1.925 1.154 4.027 8.544
mu_lambda_H[2] 3.942 1.949 0.649 3.816 8.097
mu_lambda_H[3] 3.468 1.843 0.782 3.172 7.716
sigma_lambda_H[1] 8.580 4.418 1.985 7.814 18.483
sigma_lambda_H[2] 8.451 4.672 1.121 7.876 18.338
sigma_lambda_H[3] 6.299 3.960 1.060 5.464 16.176
beta_H[1,1] 6.672 1.302 3.570 6.905 8.549
beta_H[2,1] 9.845 0.477 8.871 9.865 10.708
beta_H[3,1] 7.884 0.853 5.915 7.994 9.272
beta_H[4,1] 13.032 7.837 -1.836 12.819 29.381
beta_H[5,1] -0.208 2.974 -6.575 0.086 4.573
beta_H[6,1] 4.721 2.679 -3.049 5.362 7.823
beta_H[7,1] 2.627 5.131 -8.182 2.932 11.869
beta_H[8,1] 1.394 4.542 -2.637 1.165 3.610
beta_H[9,1] 14.052 5.554 3.608 13.726 25.904
beta_H[10,1] 7.104 1.693 3.735 7.174 10.453
beta_H[11,1] 4.707 3.591 -2.959 5.414 9.886
beta_H[12,1] 2.523 1.017 0.688 2.456 4.752
beta_H[13,1] 9.033 0.790 7.227 9.082 10.410
beta_H[14,1] 2.151 1.042 0.130 2.165 4.132
beta_H[15,1] -6.712 3.603 -13.248 -6.907 1.087
beta_H[16,1] 3.979 3.069 -0.795 3.509 11.252
beta_H[1,2] 7.905 0.260 7.380 7.908 8.409
beta_H[2,2] 10.029 0.130 9.777 10.027 10.293
beta_H[3,2] 8.922 0.205 8.528 8.919 9.319
beta_H[4,2] 2.067 1.517 -0.948 2.045 5.062
beta_H[5,2] 1.871 1.084 -0.273 1.888 3.858
beta_H[6,2] 6.308 0.819 4.448 6.392 7.702
beta_H[7,2] 1.928 0.972 0.192 1.863 4.020
beta_H[8,2] 2.939 1.231 1.285 3.105 4.225
beta_H[9,2] 2.653 1.016 0.519 2.677 4.605
beta_H[10,2] 8.158 0.349 7.426 8.178 8.792
beta_H[11,2] 9.851 0.660 8.862 9.739 11.277
beta_H[12,2] 3.920 0.356 3.245 3.915 4.622
beta_H[13,2] 9.149 0.229 8.713 9.139 9.631
beta_H[14,2] 4.085 0.353 3.398 4.084 4.763
beta_H[15,2] 11.496 0.651 10.123 11.530 12.712
beta_H[16,2] 4.657 0.836 3.057 4.640 6.402
beta_H[1,3] 8.554 0.256 8.082 8.539 9.095
beta_H[2,3] 10.103 0.113 9.887 10.102 10.336
beta_H[3,3] 9.630 0.176 9.300 9.624 10.005
beta_H[4,3] -0.562 1.210 -2.833 -0.616 2.086
beta_H[5,3] 4.097 0.696 2.724 4.089 5.525
beta_H[6,3] 7.596 0.857 6.339 7.433 9.815
beta_H[7,3] -2.017 0.643 -3.282 -2.016 -0.796
beta_H[8,3] 5.266 0.630 4.624 5.169 6.589
beta_H[9,3] -1.654 0.707 -3.128 -1.652 -0.277
beta_H[10,3] 8.801 0.287 8.270 8.792 9.380
beta_H[11,3] 8.473 0.303 7.817 8.495 8.997
beta_H[12,3] 5.339 0.313 4.630 5.367 5.853
beta_H[13,3] 8.959 0.174 8.612 8.961 9.318
beta_H[14,3] 5.879 0.279 5.272 5.891 6.361
beta_H[15,3] 10.292 0.318 9.680 10.290 10.940
beta_H[16,3] 6.140 0.792 4.401 6.217 7.461
beta_H[1,4] 8.276 0.190 7.867 8.285 8.613
beta_H[2,4] 10.171 0.121 9.899 10.179 10.380
beta_H[3,4] 10.120 0.170 9.737 10.134 10.417
beta_H[4,4] 11.586 0.459 10.722 11.576 12.518
beta_H[5,4] 5.738 0.885 4.397 5.617 7.844
beta_H[6,4] 7.618 0.628 5.929 7.726 8.550
beta_H[7,4] 8.399 0.319 7.768 8.397 9.015
beta_H[8,4] 6.735 0.288 6.166 6.753 7.197
beta_H[9,4] 7.142 0.370 6.427 7.144 7.898
beta_H[10,4] 7.816 0.253 7.336 7.804 8.335
beta_H[11,4] 9.489 0.196 9.103 9.488 9.880
beta_H[12,4] 7.221 0.202 6.837 7.218 7.636
beta_H[13,4] 9.098 0.146 8.792 9.105 9.369
beta_H[14,4] 7.928 0.215 7.507 7.928 8.341
beta_H[15,4] 9.486 0.238 9.009 9.493 9.941
beta_H[16,4] 9.456 0.280 8.966 9.430 10.065
beta_H[1,5] 9.083 0.153 8.777 9.088 9.379
beta_H[2,5] 10.835 0.092 10.666 10.832 11.018
beta_H[3,5] 10.949 0.171 10.637 10.942 11.305
beta_H[4,5] 8.520 0.449 7.625 8.513 9.386
beta_H[5,5] 5.040 0.766 3.228 5.184 6.196
beta_H[6,5] 8.660 0.480 7.924 8.589 9.854
beta_H[7,5] 6.653 0.313 6.065 6.646 7.261
beta_H[8,5] 8.314 0.239 7.956 8.291 8.777
beta_H[9,5] 8.400 0.369 7.662 8.401 9.142
beta_H[10,5] 10.159 0.250 9.664 10.164 10.642
beta_H[11,5] 11.581 0.225 11.145 11.579 12.024
beta_H[12,5] 8.545 0.187 8.165 8.546 8.921
beta_H[13,5] 10.101 0.126 9.851 10.103 10.361
beta_H[14,5] 9.294 0.203 8.897 9.288 9.694
beta_H[15,5] 11.255 0.246 10.768 11.257 11.747
beta_H[16,5] 9.868 0.188 9.461 9.878 10.214
beta_H[1,6] 10.207 0.228 9.840 10.182 10.788
beta_H[2,6] 11.531 0.108 11.312 11.530 11.742
beta_H[3,6] 10.720 0.166 10.369 10.727 11.021
beta_H[4,6] 12.896 0.782 11.330 12.904 14.450
beta_H[5,6] 5.879 0.760 4.699 5.799 7.648
beta_H[6,6] 8.749 0.417 7.833 8.775 9.484
beta_H[7,6] 10.480 0.536 9.462 10.466 11.564
beta_H[8,6] 9.582 0.316 9.024 9.608 10.044
beta_H[9,6] 8.156 0.622 6.945 8.153 9.409
beta_H[10,6] 9.414 0.352 8.623 9.448 10.007
beta_H[11,6] 10.671 0.375 9.885 10.700 11.353
beta_H[12,6] 9.357 0.238 8.897 9.349 9.870
beta_H[13,6] 11.101 0.153 10.811 11.098 11.410
beta_H[14,6] 9.948 0.269 9.397 9.958 10.472
beta_H[15,6] 10.641 0.435 9.775 10.659 11.471
beta_H[16,6] 10.669 0.254 10.147 10.672 11.165
beta_H[1,7] 10.391 1.179 7.333 10.651 12.129
beta_H[2,7] 12.128 0.438 11.174 12.154 12.950
beta_H[3,7] 10.257 0.735 8.621 10.328 11.499
beta_H[4,7] 1.856 3.961 -5.917 1.794 9.752
beta_H[5,7] 6.132 2.511 1.408 6.189 10.794
beta_H[6,7] 8.541 1.675 4.141 8.904 10.615
beta_H[7,7] 7.921 2.697 2.493 7.976 13.264
beta_H[8,7] 11.023 1.202 9.335 10.958 12.840
beta_H[9,7] 5.528 3.123 -0.802 5.601 11.552
beta_H[10,7] 10.239 1.623 7.470 10.052 13.834
beta_H[11,7] 11.533 1.850 8.305 11.323 15.717
beta_H[12,7] 9.874 0.899 7.784 9.959 11.373
beta_H[13,7] 11.740 0.698 10.044 11.825 12.884
beta_H[14,7] 10.688 0.882 8.972 10.690 12.394
beta_H[15,7] 13.649 2.279 9.207 13.640 18.125
beta_H[16,7] 12.729 1.382 10.431 12.569 15.886
beta0_H[1] 8.958 15.944 -22.827 8.967 43.331
beta0_H[2] 10.694 6.524 -3.951 10.750 23.659
beta0_H[3] 9.817 10.655 -11.845 9.830 32.304
beta0_H[4] 8.051 172.991 -358.147 10.408 352.397
beta0_H[5] 3.730 35.122 -66.687 4.377 74.966
beta0_H[6] 6.935 26.258 -55.356 7.600 61.804
beta0_H[7] 6.417 129.283 -281.422 8.939 259.550
beta0_H[8] 5.451 35.281 -19.697 6.414 28.665
beta0_H[9] 4.279 108.213 -208.922 5.050 227.549
beta0_H[10] 8.412 37.425 -66.084 8.334 85.417
beta0_H[11] 10.011 54.708 -109.258 10.331 120.871
beta0_H[12] 6.459 11.276 -16.055 6.470 29.890
beta0_H[13] 9.955 10.476 -10.854 9.959 30.080
beta0_H[14] 7.369 11.871 -14.667 7.129 29.898
beta0_H[15] 5.614 115.866 -236.210 4.926 245.143
beta0_H[16] 7.601 30.564 -57.445 7.896 71.615